
Very recently, Girolami and co-workers defined the local quantum uncertainty as the minimum skew information that can be obtained by a single local measurement [1]}. More precisely, for a bipartite quantum state \(\rho _{AB}\) , we consider the local observable \(K^{\Lambda }=K_{A}^{\Lambda }\otimes _{B}\)  such that \(K_{A}^{\Lambda }\)  is a Hermitian operator acting on states of the \(A\)  subsystem and having a non-degenerate spectrum \(\Lambda \) . The local quantum uncertainty with respect to the subsystem \(A\)  is given by
\({\cal U}_{A}^{\Lambda }\left( \rho _{AB}\right):=\min _{K_{A}^{\Lambda }}{\cal I}\left(\rho _{AB}, K_{A}^{\Lambda }\otimes _{B}\right), \) 
